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Simplifying 14q + 7q + -2q + 6 = 6q + -1 + -5 Reorder the terms: 6 + 14q + 7q + -2q = 6q + -1 + -5 Combine like terms: 14q + 7q = 21q 6 + 21q + -2q = 6q + -1 + -5 Combine like terms: 21q + -2q = 19q 6 + 19q = 6q + -1 + -5 Reorder the terms: 6 + 19q = -1 + -5 + 6q Combine like terms: -1 + -5 = -6 6 + 19q = -6 + 6q Solving 6 + 19q = -6 + 6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-6q' to each side of the equation. 6 + 19q + -6q = -6 + 6q + -6q Combine like terms: 19q + -6q = 13q 6 + 13q = -6 + 6q + -6q Combine like terms: 6q + -6q = 0 6 + 13q = -6 + 0 6 + 13q = -6 Add '-6' to each side of the equation. 6 + -6 + 13q = -6 + -6 Combine like terms: 6 + -6 = 0 0 + 13q = -6 + -6 13q = -6 + -6 Combine like terms: -6 + -6 = -12 13q = -12 Divide each side by '13'. q = -0.9230769231 Simplifying q = -0.9230769231
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